In models with two Higgs doublets \(H_{u}=(H_{u}^{+},H_{u}^{0})\)  and
\(H_{d}=(H_{d}^{0},H_{d}^{-})\) , there are 8 real Higgs scalars,
three are eaten by the massive \(W\)  bosons,
leaving two CP even \(h\)  and \(H\) , a CP odd \(A_0\)  and two charged \(H^{\pm }\)  particles.
The most general form of scalar superpotential that contains operators of effective dimension less than 5
is [1]}, [2]}
\(V&=&\tilde{m}^2_{H_{u}}H^{\dag }_{u}H_{u}+\tilde{m}^2_{H_{d}}H^{\dag }_{d}H_{d}-(m^2_{ud}H_{u}H_{d}+h.c.)+\frac{\lambda _{1}}{2}(H^{\dag }_{u}H_{u})^2+\frac{\lambda _{2}}{2}(H^{\dag }_{d}H_{d})^2\nonumber \\&+&\lambda _{3}(H^{\dag }_{u}H_{u})(H^{\dag }_{d}H_{d})+\lambda _{4}(H^{\dag }_{u}H_{d})(H^{\dag }_{d}H_{u})\nonumber \\&+& \left(\frac{\lambda _{5}}{2}(H_{u}H_{d})^2+(\lambda _{6}H^{\dag }_{u}H_{u}+\lambda _{7}H^{\dag }_{d}H_{d})H_{u}H_{d}+h.c.\right)\) 
